(8) true
Type: Boolean
(9) -> areEquivalent? (sp1.2,sp2.1)
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Dimensions of kernels differ

Representations are not equivalent.
(9) [0]
Type: Matrix PrimeField 2
(10) -> dA6d16 := tensorProduct(sp1.2,sp2.1);meatAxe dA6d16
Fingerprint element in generated algebra is non-singular
Fingerprint element in generated algebra is singular
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
Fingerprint element in generated algebra is non-singular
Fingerprint element in generated algebra is singular
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
Fingerprint element in generated algebra is singular
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
We know that all the cyclic submodules generated by all
non-trivial element of the singular matrix under view are
not proper, hence Norton's irreducibility test can be done:
The generated cyclic submodule was not proper
Representation is irreducible, but we don't know
whether it is absolutely irreducible

(11) false
Type: Boolean
(12) -> sp3 := meatAxe (dA6d16:: (LIST MATRIX FF(2,2)))
Fingerprint element in generated algebra is non-singular
Fingerprint element in generated algebra is singular
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
Fingerprint element in generated algebra is non-singular
Fingerprint element in generated algebra is singular
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
Fingerprint element in generated algebra is singular
The generated cyclic submodule was not proper
The generated cyclic submodule was not proper
A proper cyclic submodule is found.
Transition matrix computed
The inverse of the transition matrix computed
Now transform the matrices

(13) true
Type: Boolean
(14) -> isAbsolutelyIrreducible? sp3.2
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra has
one-dimensional kernel
We know that all the cyclic submodules generated by all
non-trivial element of the singular matrix under view are
not proper, hence Norton's irreducibility test can be done:
The generated cyclic submodule was not proper
Representation is absolutely irreducible

(14) true
Type: Boolean
(15) -> areEquivalent? (sp3.1,sp3.2)
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra does
not have a one-dimensional kernel
Random element in generated algebra has
one-dimensional kernel
There is no isomorphism, as the only possible one
fails to do the necessary base change

Where I can, I have put links to Amazon for books that are relevant to
the subject, click on the appropriate country flag to get more details
of the book or to buy it from them.

The Princeton Companion to Mathematics - This is a big book that attempts to give a wide overview of the whole of mathematics, inevitably there are many things missing, but it gives a good insight into the history, concepts, branches, theorems and wider perspective of mathematics. It is well written and, if you are interested in maths, this is the type of book where you can open a page at random and find something interesting to read. To some extent it can be used as a reference book, although it doesn't have tables of formula for trig functions and so on, but where it is most useful is when you want to read about various topics to find out which topics are interesting and relevant to you.